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What is the sign of exe^xex for all real xxx?

A

exe^xex is positive for every real value of xxx.

B

Q0Q_0Q0​ is the initial value because Q(0)=Q0e0=Q0Q(0)=Q_0e^0=Q_0Q(0)=Q0​e0=Q0​.

C

In Q=Q0ektQ=Q_0e^{kt}Q=Q0​ekt, positive kkk gives growth, while negative kkk gives decay.

D

The gradient is always negative, so the curve is decreasing.

Card 1 of 30

1.8.9 Gradient of e^kx (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.8.9 Gradient of e^kx (A-level only)

30 flashcards on OCR (MEI) A Level Maths 1.8.9 Gradient of e^kx (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.

Flashcards